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KCET2021MathematicsFunctions

The function f(x)= 3 2 x- 2 x+4 is one-one in the interval

Options

  1. A[ - 6 , 3 ]
  2. B[ 6 , - 3 ]
  3. C[ - 2 , 2 ]
  4. D[ - 6 , - 3 ]

Correct answer

A. [ - 6 , 3 ]

Step-by-step solution

Given function, f(x)= 3 2 x- 2 x+4 aligned f(x) &=2 ( 2 x 3 2 - 2 x 1 2 )+4 &=2 ( 2 x 6 - 2 x 6 )+4 &=2 [ (2 x- 6 ) ]+4 aligned f is one-one. array ll & - 2 2 x- 6 2 & - 2 + 6 2 x 2 + 6 & -3 + 6 2 x 4 6 - 6 x 3 & x [- 6 , 3 ] array

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